Converse of the Pythagorean Theorem - All

If we know that the sum of two square sides in a triangle equals the square of the third side, we can conclude that the triangle is a right triangle. Pythagorean triples are commonly seen side lengths that indicate when a triangle is a right triangle. Knowing these triples will save time when in calculations related to the Pythagorean theorem.

Sample Problems
(2)

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Problem 1

How to use the converse of the Pythagorean Theorem to determine if a triangle is a right triangle given the lengths of the triangle.

Problem 2

How to use the Pythagorean Theorem to determine if a triangle is acute, right, or obtuse, given the lengths of the triangle.